We show that the ideal generated by the (n - 2)-minors of a general symmetric n times n matrix has an initial ideal that is the Stanley–Reisner ideal of the boundary complex of a simplicial polytope and has the same graded Betti numbers
A Gorenstein simplicial complex for symmetric minors
CONCA, ALDO;DE NEGRI, EMANUELA;
2016-01-01
Abstract
We show that the ideal generated by the (n - 2)-minors of a general symmetric n times n matrix has an initial ideal that is the Stanley–Reisner ideal of the boundary complex of a simplicial polytope and has the same graded Betti numbers
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